Primality proof for n = 56783:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=89.html>89 is prime.</a>
<br>b^((n-1)/89)-1 mod n = 35225, which is a unit, inverse 31036.
<p><a href=29.html>29 is prime.</a>
<br>b^((n-1)/29)-1 mod n = 20233, which is a unit, inverse 28348.
<p>(29 * 89) divides n-1.
<p>(29 * 89)^2 > n.
<p>n is prime by Pocklington's theorem.